Minimal model program for threefolds in positive characteristic

Abstract: The minimal model program is supposed to help
us to find a "good representative" in a given birational class.
Although in characteristic 0 there has been a big progress, in positive
characteristics, due to the lack of resolution of singularities and failure of
vanishing theorem, things are much behind. I will talk about the recent results
on the existence of flips in threefolds, jointly with Christopher Hacon, and
some later improvements by Birkar and myself.